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Total of 203 adults selected at random were cross-classified according to their gender (male; female) and their political affiliation (Democrat; Neutral; Republican). The table below features the results.


Democrat Neutral Republican R total
Female 54 15 36
Male 40 13 45
C total


203

Calculate the marginal counts (row and column totals) in the table. Then, conduct a test to determine whether gender and political affiliation are independent at the significance level of 0.1.

(a) State the null and alternative hypotheses.

H0: Gender and political affiliation   select    are    are not    independent.

Ha: Gender and political affiliation   select    are    are not    independent.

(b) Calculate the expected counts. (Carry 3 decimal digits.)


Democrat Neutral Republican
Female


Male


(c) Calculate the test statistic.

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  • Category:- Statistics and Probability
  • Reference No.:- M9999127

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